Analog of the John theorem for weighted spherical means on a sphere

We study generalizations of the class of functions with zero integrals over the balls of fixed radius. An analog of the John uniqueness theorem is obtained for weighted spherical means on a sphere.

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Datum:2013
Hauptverfasser: Volchkov, V. V., Savost’yanova, I. M., Волчков, Вит. В., Савостьянова, И. М.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2445
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We study generalizations of the class of functions with zero integrals over the balls of fixed radius. An analog of the John uniqueness theorem is obtained for weighted spherical means on a sphere.